1. ## [SOLVED] proof

Which of the following relations R on sets X are reflexive, symmetric, transitive? Give proofs or counterexamples.

(i) X = N, (a;b)eR if and only if a divides b (we say that a divides b if there
is an integer k such that b = ka).

How do I show this?

2. Originally Posted by ronaldo_07
Which of the following relations R on sets X are reflexive, symmetric, transitive? Give proofs or counterexamples.

(i) X = N, (a;b)eR if and only if a divides b (we say that a divides b if there
is an integer k such that b = ka). How do I show this?
Why have you not shown us what you have done on this problem?
Have you made any attemp to solve this?

3. Originally Posted by ronaldo_07
Which of the following relations R on sets X are reflexive, symmetric, transitive? Give proofs or counterexamples.

(i) X = N, (a;b)eR if and only if a divides b (we say that a divides b if there
is an integer k such that b = ka).

How do I show this?
false. not symmetric $\displaystyle 2|4$ but $\displaystyle 4 \not | \text{ }2$.